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Finding the Fourth Proportional to 456,157, 629,516.10 and 254,953

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Solution

The fourth proportional to 456,157, 629,516.10 and 254,953 is: 351,846.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,157 : 629,516.10 = 254,953 : x
  2. Step 2: Convert to fraction form
    456,157/629,516.10 = 254,953/x
  3. Step 3: Cross multiply
    456,157x = 629,516.10 × 254,953
  4. Step 4: Simplify right side
    456,157x = 160,497,018,243.30
  5. Step 5: Solve for x
    x = 160,497,018,243.30/456,157
  6. Step 6: Final answer
    x = 351,846.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.